Q. A girl drops an apple from the window of a train which is moving on a straight track with speed increasing with a constant rate. The trajectory of the falling apple as seen by the girl is

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Solution:

As the apple is released, it has two accelerations
pseudo acceleration due to acceleration to train
and acceleration due to gravity
image
Resultant of these accelerations are as shown below.
image
Hence, trajectory of falling apple is an inclined straight line opposite to the direction of train